Array Flip Commutative Worksheet
3
Grade 3 Math • Module 1 • Lesson 8
Array Flip: The Commutative Property
Name:
Date:
Key Idea: Commutative Property
When we rotate an array, the factors switch order, but the total stays the same! \( a \times b = b \times a \)
2 × 4 = 8 4 × 2 = 8
1
Rotate & Write the Equations
Look at Array A and its rotated partner, Array B. Fill in each blank.
Array A 3 rows of 5
× =
Array B (Rotated) 5 rows of 3
× =
Commutative Fact: 3 × 5 = × 3 =
Draw arrays with dots or stars. Then write each multiplication sentence.
a. Draw 2 rows of 6
× =
b. Rotate: Draw 6 rows of 2
× =
2
Unit Form & Commutative Partners
Rewrite each unit form phrase as a multiplication equation, find the total, and write its commutative partner.
4 sevens 4 groups of 7
4 × 7 =
Partner: 7 fours = × =
3 eights 3 groups of 8
3 × 8 =
Partner: 8 threes = × =
5 sixes 5 groups of 6
5 × 6 =
Partner: 6 fives = × =
2 nines 2 groups of 9
2 × 9 =
Partner: 9 twos = × =
Eureka Math Grade 3 • Module 1 Lesson 8 Page 1 of 2
8
Array Flip: Continued Practice
Missing Factors, True/False & Word Problems
Student:
3
Find the Missing Factor
Use the commutative property to fill in the missing factor in each blank square.
a.
4 × 8 = 8 ×
b.
6 ×
= 9 × 6
c.
× 7 = 7 × 5
d.
3 × 10 =
× 3
e.
7 ×
= 2 × 7
f.
× 4 = 4 × 9
4
Think Deeply: True or False?
Statement A:
TRUE FALSE
\( 5 \times 3 = 3 \times 5 \)
Explain how you know:
Statement B:
TRUE FALSE
\( 4 \times 6 = 6 + 4 \)
Explain why this statement is true or false:
5
Word Problem Challenge
Maya arranges her garden seeds into 4 rows of 7 seeds. Her brother Leo plants his seeds into 7 rows of 4 seeds.
Maya's Garden Array (4 rows of 7)
Equation: × =
Leo's Garden Array (7 rows of 4)
Equation: × =
Who planted more seeds? Explain using the commutative property:
Sam already memorized that 4 × 9 = 36. How can Sam use the commutative property to instantly solve 9 × 4 without counting again?
Eureka Math Grade 3 • Module 1 Lesson 8 Page 2 of 2
